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Simplifying -7(x + -2) + 5(3 + -1x) = 17 Reorder the terms: -7(-2 + x) + 5(3 + -1x) = 17 (-2 * -7 + x * -7) + 5(3 + -1x) = 17 (14 + -7x) + 5(3 + -1x) = 17 14 + -7x + (3 * 5 + -1x * 5) = 17 14 + -7x + (15 + -5x) = 17 Reorder the terms: 14 + 15 + -7x + -5x = 17 Combine like terms: 14 + 15 = 29 29 + -7x + -5x = 17 Combine like terms: -7x + -5x = -12x 29 + -12x = 17 Solving 29 + -12x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -12x = 17 + -29 Combine like terms: 29 + -29 = 0 0 + -12x = 17 + -29 -12x = 17 + -29 Combine like terms: 17 + -29 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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